I do/it does. Only woken up with it wet once - air was unexpectedly moist overnight (woke up in fog), low lying playing field, no breeze, next to a river - basically everything you shouldn't sleep in on that kind of a night.
Had a Hunka before though and that always seemed to get damp.
You've got the rab right? I've never woken up in that with condensation or damp. Even in terrible weather. It really does breathe well.